If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now
it looks like
6.688=r^2h
that means we must find 3^2
that basically means 3x3 which is 9
then you have to divide that from 6.688
then you get 0.743
that is your height.
now we must find the volume of the cone. The formula for that is
V=пr^2(h/3)
now lets plug in our info
V=(3.14)(9)(0.743/3)
you get 6.999
Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is 
miles from the shore. his trip to the island took two hours while paddling against the current. he paddles 
mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore 
miles
total time taken by Kayden 
hours
speed of Kayden in still water 
Let the speed of current be 
Speed of Kayden against current 
As,
Hence speed of current is
Answer:
Step-by-step explanation:
<em>1).</em>
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
The digits in the ten-thousands place is 10,000 times the value of a digit, right? For example, 10,000 is 10,000 times 1, and one is a mere digit. The thousands place follows the same rule, with 1,000 being 1,000 times 1. Ergo, when compared, you could think of it as 10,000/1,000 = 10. We can think of this as a digit in the ten-thousands place is 10 times the value of the same digit in the thousands place.
